135041354335440 has 480 divisors, whose sum is σ = 545261777798400. Its totient is φ = 29297105510400.

The previous prime is 135041354335421. The next prime is 135041354335457. The reversal of 135041354335440 is 44533453140531.

135041354335440 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 13 + 543 + 3 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793540 + ... + 16453340.

It is an arithmetic number, because the mean of its divisors is an integer number (1135962037080).

Almost surely, 2^{135041354335440} is an apocalyptic number.

135041354335440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135041354335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272630888899200).

135041354335440 is an abundant number, since it is smaller than the sum of its proper divisors (410220423462960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135041354335440 is a wasteful number, since it uses less digits than its factorization.

135041354335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659915 (or 15659906 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 135041354335440 in words is "one hundred thirty-five trillion, forty-one billion, three hundred fifty-four million, three hundred thirty-five thousand, four hundred forty".